While playing a real-time strategy game, Sam created military units for battle: long swordsmen, spearmen, and crossbowmen. Long swordsmen require 30 units of food and 15 units of gold. Spearmen require 35 units of food and 25 units of wood. Crossbowmen require 25 units of wood and 45 units of gold. If Sam used 1650 units of gold, 1125 units of wood, and 1125 units of food to create the units, how many of each type of military unit did he create?
Answers
Sam created 41 long swordsmen, 22 spearmen, and 23 crossbowmen.
Let's start by assigning variables to represent the number of each type of military unit created. Let L be the number of long swordsmen, S be the number of spearmen, and C be the number of crossbowmen.
We know that long swordsmen require 30 units of food and 15 units of gold, so the total amount of food and gold used to create L long swordsmen is:
30L units of food
15L units of gold
Similarly, spearmen require 35 units of food and 25 units of wood, so the total amount of food and wood used to create S spearmen is:
35S units of food
25S units of wood
Finally, crossbowmen require 25 units of wood and 45 units of gold, so the total amount of wood and gold used to create C crossbowmen is:
25C units of wood
45C units of gold
We can set up a system of equations to represent the given information:
30L + 35S + 0C = 1125 (total units of food used)
0L + 25S + 25C = 1125 (total units of wood used)
15L + 0S + 45C = 1650 (total units of gold used)
Simplifying each equation, we get:
6L + 7S = 225
S + C = 45
L + 3C = 110
We can solve this system of equations using substitution or elimination. Here's one way to use substitution:
From the second equation, we can solve for S in terms of C: S = 45 - C.
Substituting this expression for S into the first equation, we get: 6L + 7(45 - C) = 225.
Simplifying this equation, we get: 6L - 7C = -210.
From the third equation, we can solve for L in terms of C: L = 110 - 3C.
Substituting this expression for L into the previous equation, we get: 6(110 - 3C) - 7C = -210.
Simplifying this equation, we get: 593 - 25C = 0.
Solving for C, we get: C = 23.72 (rounded to two decimal places).
Since we can't have a fractional number of units, we can round up or down to the nearest whole number. If we round down, we get C = 23, and then we can solve for L and S:
L = 110 - 3C = 110 - 3(23) = 41
S = 45 - C = 45 - 23 = 22
Therefore, Sam created each type of 41 long swordsmen, 22 spearmen, and 23 crossbowmen.
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Related Questions
a three dimensional object with two identical circular ends and one side
Answers
Answer:
cylinder
Step-by-step explanation:
I need help please on this question
Answers
14. No
15. Yes; Domain: (-4,3) Range: (-4)
Write 34.43% as a decimal without the percent symbol
Answers
Answer:
0.3443
Step-by-step explanation:
(34.43%)/100%
-------------------------------------------------------------------------------------------------------------
Answer: \(\textsf{0.3443}\)
-------------------------------------------------------------------------------------------------------------
Given: \(\textsf{34.43\%}\)
Find: \(\textsf{Convert percentage to decimal}\)
Solution: In order to convert a percentage to a decimal we just have to divide the percentage by 100 meaning out of 100. This would move the decimal point back two places.
Convert to decimal
\(\textsf{34.43\% / 100}\)\(0.3443\)Therefore, the final answer would be that 34.43% as a decimal would be 0.3443
(7x-11) (6x-1) find the value of x
Answers
Answer:
Hey!
Since we know that both expressions lay on a straight line, we know that when both lines add up it should be 180°
We can write the expression as (7x - 1) + (6x - 1) = 180
Simplify
→ (7x + −1) + (6x + −1) = 180
Combine Like Terms
→ (7x + 6x) + (-1 + -1) = 180 → 13 + -2 = 180
Add 2 To Both Sides
→ 13x - 2 + 2 = 180 + 2 → 13x = 182
Divide 13 To Both Sides
13x/13 = 182/13 → x = 14
Hence, the value of x is 14!
-------------------------------------------------
Hope This Helped! Good Luck!
Geometry
Please help me with my homework! Thank you!
Answers
Answer:
BC, FG, EH.
Step-by-step explanation:
Evaluate the definite integral I = S6 3 |x-4|dxif it is defined. (If the integral in undefined, enter 'DNE' as your answer.)
Answers
The definite integral is 2.5.
The given definite integral is ∫₆³ |x-4| dx. We can evaluate this integral by breaking it up into two separate integrals, depending on the sign of x-4. When x-4 ≥ 0, the absolute value of x-4 is simply x-4, and when x-4 < 0, the absolute value of x-4 is -(x-4). Thus, we have:
We can split the integral into two parts:
For x between 3 and 4:
I1 = ∫\(3^4\) (x-4)dx
= [\(x^2\)/2 - 4x]\(3^4\)
= [(16-12)-(9/2-12)]
= 2.5
For x between 4 and 6:
I2 = ∫\(4^6\) (4-x)dx
= [4x - \(x^2\)/2]\(4^6\)
= [(24-16)-(16-8)]
= 0
So the total integral is:
I = I1 + I2 = 2.5 + 0 = 2.5
Therefore, the definite integral is 2.5.
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Triangle PQR has the following measures: p= 16.2 m, q = 35.0 m, and m/R = 75°.
What is the area of triangle PQR?
Answers
After solving the area of the triangle PQR obtained will be equal to 273.6 m²
What is a triangle?
The basic polygonal shape of a triangle has three sides & three interior angles. This is one of the fundamental shapes in geometry and is particularly associated. It has three connected vertices. Triangles can be divided into a variety of categories according to their sides and angles.
As per the given information given in the question,
p= 16.2
q = 35.0 m and,
m ∠R = 75°
Find x by cosine rule,
cos 75° = (16.2² + 35² - x²)/(2 × 16.5 × 35)
x = 34.5 m
The value of r is 34.5 mm then the third side of the triangle pqr will be,
Use heron's formula,
s = (16.2 + 35 + 34.5)/2
s = 42.85
Area = \(\sqrt{s(s-p)(s-q)(s-r)}\)
A = √42.85(42.85 - 16.2)(42.85 - 35)(42.85 - 34.5)
A = 273.6 m²
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Find the distance between 5,3 and -7,7 express as a radical or a number rounded to the nearest hundreth
Answers
Answer:
The distance between the given points is:
\(distance=\sqrt{160} =4\,\sqrt{10} \approx 12.65\)
Step-by-step explanation:
We use the distance formula on the coordinate plane:
\(distance=\sqrt{(x_2-x_1)^2+(y_2-y_i)^2} \\distance=\sqrt{(-7-5)^2+(7-3)^2}\\distance=\sqrt{(-12)^2+(4)^2}\\distance=\sqrt{144+16} \\distance=\sqrt{160} \\distance=4\,\sqrt{10} \\distance\approx 12.65\)
you are examining three different containers. each holds 20cm^3 of water and each is 5cm high. the three containers are as follows: a cylinder a regular pentagon based prism a square based prism which container requires the least amount of material to make?
Answers
Comparing the surface areas of the three containers, we find that the cylinder requires the least amount of material to make, with a surface area of approximately 39.99 cm².
To determine which container requires the least amount of material to make, we need to compare the surface areas of the three containers: the cylinder, the regular pentagon-based prism, and the square-based prism.
1. Cylinder:
The formula for the lateral surface area of a cylinder is given by:
A_cylinder = 2πrh,
where r is the radius of the base and h is the height of the cylinder.
Given that the volume of the cylinder is 20 cm³ and the height is 5 cm, we can calculate the radius:
V_cylinder = πr²h,
20 = πr²(5),
r² = 4/π,
r ≈ 1.27 cm.
Substituting the values into the lateral surface area formula, we get:
A_cylinder = 2π(1.27)(5) ≈ 39.99 cm².
2. Regular Pentagon-Based Prism:
To find the surface area of a regular pentagon-based prism, we need to know the apothem (a line segment from the center of the polygon to the midpoint of one of its sides) and the height of the prism.
Since the container holds 20 cm³ of water and has a height of 5 cm, each layer of water has a volume of 20/5 = 4 cm³. As the prism is regular, we can find the side length of the pentagon by calculating the square root of the prism's volume:
side length = √(4/tan(π/5)) ≈ 2.12 cm.
The apothem of a regular pentagon can be calculated using the formula:
apothem = side length / (2tan(π/5)) ≈ 1.85 cm.
The lateral surface area of the pentagon-based prism is given by:
A_pentagon = 5 × (1/2 × perimeter × apothem) = 5 × (5 × 2.12 × 1.85) ≈ 49.17 cm².
3. Square-Based Prism:
Since the container holds 20 cm³ of water and has a height of 5 cm, each layer of water has a volume of 20/5 = 4 cm³. Thus, the base area of the square is 4 cm².
The lateral surface area of a square-based prism is given by:
A_square = 4 × side × height,
where side is the length of one side of the base and height is the height of the prism.
Given that the base area is 4 cm² and the height is 5 cm, we can calculate the side length of the square base:
4 = side²,
side ≈ 2 cm.
Substituting the values into the lateral surface area formula, we get:
A_square = 4 × 2 × 5 = 40 cm².
Comparing the surface areas of the three containers, we find that the cylinder requires the least amount of material to make, with a surface area of approximately 39.99 cm².
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create a stem plot. (Enter numbers from smallest to largest separated by spaces. Enter NONE for stems with no values.) The height in feet of 25 trees is shown below (lowest to highest).
21, 26, 33, 34, 34, 34, 35, 37, 37, 38, 39, 39, 39, 40, 41, 43, 44, 46, 47, 50, 50, 53, 53, 55, 55
Stem Leaf
2____________
3____________
4____________
5____________
Identify any outliers. (Enter your answers S a comma-separated list. If there are no outliers enter NONE.)
Answers
Stem plots are diagrams that are used to represent a set of numerical data in an organized and easy-to-read manner.
Here, we need to create a stem plot for the given data which is shown below:
21, 26, 33, 34, 34, 34, 35, 37, 37, 38, 39, 39, 39, 40, 41, 43, 44, 46, 47, 50, 50, 53, 53, 55, 55
First, we need to separate the data into the stem and the leaf components. The stem represents the tens place and the leaf represents the ones place.
The resulting stem and leaf plot is shown below:
2|1
3|3 4 4 4 5
4|1 3 4 4 6 7
5|0 0 3 3 5 5
None of the data values appear to be significantly far from the rest of the data, so there are no outliers.
Therefore, the answer is NONE.
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The height of the pyramid in the diagram is three times the radius of the cone. The base area of the pyramid is the same as the base area of the
cone. What is the expression for the volume of the pyramid in terms of the radius r of the cone?
Answers
Answer:
jhhfhgk
Step-by-step explanation:
Answer:
Hey, the correct nswer is option A
Step-by-step explanation:
A. V = \(\pi\)r3
if a=3/6 and b=-3/-5 find -3a+4b
Answers
Answer:
Step-by-step explanation:
-3(3/6) + 4(3/5)
-3(1/2) + 4(3/5)
-3/2 + 12/5
-15/10 + 24/10
9/10
One angle of an isosceles triangle measures 40°. What measures are possible for the other two angles? Choose all that apply.
40°
100°
20°
70°
Answers
Answer:
100° and 40°
Step-by-step explanation:
In an isosceles, 2 interior angles are equal.
If one angle is 40°, another one of its angles must be also 40°.
Fact of a triangle
Sum of interior angles of a triangle is 180°.
Let the unknown angle be x.
x + 40° + 40° = 180°
x + 80° = 180°
x = (180 - 80)°
x = 100°
So, the other angle is 100°
Hence,
100° and 40° are the possible measures for the other two triangles.
Consider the ordered bases B=((4,3),(?7,?5)) and C=((?2,0),(?4,?1)) for the vector space R2. a). Find the transition matrix from C to the standard ordered basis E=((1,0),(0,1)). TEC=
b). Find the transition matrix from B to E. TEB=
c). Find the transition matrix from E to B. TBE=
d). Find the transition matrix from C to B. TBC=
e). Find the coordinates of u=(1,2) in the ordered basis B. Note that [u]B=TBE[u]E. [u]B=
f). Find the coordinates of v in the ordered basis B if the coordinate vector of v in C is [v]C=(1,2). [v]B=
Answers
a) To find the transition matrix from C to the standard ordered basis E, we can express the vectors in C as linear combinations of the vectors in E.
Let's represent the vectors in C as C1 and C2, and the vectors in E as E1 and E2.
C1 = -2E1 - 4E2
C2 = -E2
The transition matrix TEC can be obtained by arranging the coefficients of E1 and E2 as columns:
TEC = [[-2, 0], [-4, -1]]
b) To find the transition matrix from B to E, we need to express the vectors in B as linear combinations of the vectors in E. Let's represent the vectors in B as B1 and B2.
B1 = 4E1 - 7E2
B2 = 3E1 - 5E2
The transition matrix TEB can be obtained by arranging the coefficients of E1 and E2 as columns:
TEB = [[4, 3], [-7, -5]]
c) The transition matrix from E to B can be obtained by finding the inverse of the transition matrix from B to E:
TBE = (TEB)^(-1)
d) To find the transition matrix from C to B, we can express the vectors in C as linear combinations of the vectors in B. Using the same approach as before:
C1 = -2B1 - 4B2
C2 = -B1 - B2
The transition matrix TBC can be obtained by arranging the coefficients of B1 and B2 as columns:
TBC = [[-2, -1], [-4, -1]]
e) To find the coordinates of u = (1, 2) in the ordered basis B, we can use the equation [u]B = TBE[u]E:
[u]B = TBE * [1, 2]^T
f) To find the coordinates of v in the ordered basis B if the coordinate vector of v in C is [v]C = (1, 2), we can use the equation [v]B = TBC * [v]C:
[v]B = TBC * [1, 2]^T
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In a research study conducted to determine if arrests were related to the socioeconomic class of the offender, the chi square critical score was 9.488 and the chi square test statistic was 12.2. We can conclude that
Answers
We can conclude that the socioeconomic class of the offender is related to the likelihood of arrests.
Based on the information provided, we can conclude that there is a significant relationship between arrests and the socioeconomic class of the offender.
Identify the chi-square critical score: 9.488
Identify the chi-square test statistic: 12.2
Compare the test statistic to the critical score:
If the test statistic (12.2) is greater than the critical score (9.488), then there is a significant relationship between the variables.
In this case, 12.2 > 9.488, so there is a significant relationship between arrests and the socioeconomic class of the offender.
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cual es la raiz cuadrada de 94?
Answers
Answer:
9.7(aproximado)Step-by-step explanation:
Aquí,
\( \sqrt{94} \)
= 9.69......
= 9.7(aproximado)
Hello! I really need some help with this (:
Answers
Answer:
y = 3x + 3
Step-by-step explanation:
As x increases, y increases by 3. Therefore, the slope of the function is 3.
Setting x = 0 will give an output of 3. Therefore, the y-intercept is (0, 3).
Overall, the function rule for the given data set is y = 3x + 3.
Select the correct answer from the drop-down menu.
Triangle ABC is shown with angle A measuring 45 degrees, angle B measuring 90 degrees, and angle C measuring 45 degrees.
In this triangle, the product of tan A and tan C is
.
Answers
In this triangle, the product of tan A and tan C is `(BC)^2/(AB)^2`.
The given triangle ABC has angle A measuring 45 degrees, angle B measuring 90 degrees, and angle C measuring 45 degrees , Answer: `(BC)^2/(AB)^2`.
We have to find the product of tan A and tan C.
In triangle ABC, tan A and tan C are equal as the opposite and adjacent sides of angles A and C are the same.
So, we have, tan A = tan C
Therefore, the product of tan A and tan C will be equal to (tan A)^2 or (tan C)^2.
Using the formula of tan: tan A = opposite/adjacent=BC/A Band, tan C = opposite/adjacent=AB/BC.
Thus, tan A = BC/AB tan C = AB/BC Taking the ratio of these two equations, we have: tan A/tan C = BC/AB ÷ AB/BC Tan A * tan C = BC^2/AB^2So, the product of tan A and tan C is equal to `(BC)^2/(AB)^2`.
Answer: `(BC)^2/(AB)^2`.
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find the weight in kilograms of a 150 pound person
Answers
Answer:
The weight in kilograms of a 150 pound person is 68.039 kg
Step-by-step explanation:
Weight = 150 pounds.
We need to convert this to kg,
Now, 1 pound = 0.453592 kg.
Then, 150 pounds will be,
150 pounds = 150(0.453592) kg
So, 150 pounds = 68.039 kg
The weight of a 150 pound person is approximately 68.04 kilograms.
To convert the weight of a person from pounds to kilograms, we can use the conversion factor of 1 pound = 0.4536 kilograms.
Given that the person weighs 150 pounds, we can multiply this value by the conversion factor to find the weight in kilograms:
Weight in kilograms = 150 pounds * 0.4536 kilograms/pound
Weight in kilograms = 68.04 kilograms
Therefore, the weight of a 150 pound person is approximately 68.04 kilograms.
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1
Exit Ticket: Distributive Property
1 point
Use distributive property to simplify the expression 3 (2x² - 2x + 2) - 4+5x
Answers
Answer: 6 x^2 - x + 2.
Answer: 6x²-x+2
Step-by-step explanation:
Step 1: Distribute: 3(2x²-2x+2)-4+5x = 6x²-6x+6-4+5x
Step 2: Subtract: 6x²-6x+6-4+5x = 6x²-6x+2+5x
Step 3: Combine like terms: 6x²-6x+2+5x = 6x²-x+2
how do you put this into exel?
Answers
Answer:
You should be able to copy and paste the graph into excel
Step-by-step explanation:
the scores of individual students on the american college testing (act) program composite college entrance examination have a normal distribution with mean 18.6 and standard deviation 6.0. forty-nine randomly selected seniors take the act test. what is the probability that their mean score is greater than 20? round your answer to 4 decimal places.
Answers
The probability that the mean score of the 49 seniors is greater than 20 is 0.0516. To solve this problem, we need to use the central limit theorem, which states that the distribution of sample means from a population with any distribution will approach a normal distribution as the sample size increases.
First, we need to find the standard error of the mean (SEM), which is the standard deviation of the sampling distribution of the mean. We can use the formula SEM = σ / √n, where σ is the population standard deviation, and n is the sample size.
In this case, σ = 6.0 and n = 49, so SEM = 6.0 / √49 = 0.857.
Next, we need to standardize the sample mean using the z-score formula: z = (x - μ) / SEM, where x is the sample mean, μ is the population mean, and SEM is the standard error of the mean.
In this case, x = 20, μ = 18.6, and SEM = 0.857, so z = (20 - 18.6) / 0.857 = 1.63.
Finally, we need to find the probability that a standard normal distribution is greater than 1.63, which is 0.0516 when rounded to 4 decimal places.
Therefore, the probability that the mean score of the 49 seniors is greater than 20 is 0.0516.
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Simon and his track team ran on the Heron Peak running trail yesterday after school. The team ran 2 miles due west from the parking lot to a bench. They turned at the bench to run 1.5 miles due north toward an outhouse. To finish the run, the team ran a straight line from the outhouse back to the parking lot. If Simon ran at a constant rate of 8 miles per hour, how long did it take Simon to finish the run?
If necessary, round your answer to the nearest tenth.
how many minutes?
Answers
It took Simon 45 minutes to finish the run.
What is distance?
Distance is the measure of how far apart two objects or locations are from each other. It is usually measured in units such as meters, kilometers, miles, or feet.
To solve this problem, we need to use the distance formula:
Distance = Rate x Time
We can break down the run into three parts: the 2 miles due west, the 1.5 miles due north, and the straight line back to the parking lot.
For the first part, Simon ran 2 miles at a rate of 8 miles per hour. Therefore, the time it took him to run this part of the trail was:
Time = Distance / Rate
Time = 2 miles / 8 miles per hour
Time = 0.25 hours
For the second part, Simon ran 1.5 miles at a rate of 8 miles per hour. Therefore, the time it took him to run this part of the trail was:
Time = Distance / Rate
Time = 1.5 miles / 8 miles per hour
Time = 0.1875 hours
To find the distance of the last part, we need to use the Pythagorean theorem to find the hypotenuse of the right triangle formed by the 2-mile and 1.5-mile legs:
c² = a² + b²
c² = 2² + 1.5²
c² = 4 + 2.25
c² = 6.25
c = sqrt(6.25)
c = 2.5 miles
So, Simon ran 2.5 miles at a rate of 8 miles per hour. Therefore, the time it took him to run this part of the trail was:
Time = Distance / Rate
Time = 2.5 miles / 8 miles per hour
Time = 0.3125 hours
Finally, we can add up the times for each part of the trail to find the total time it took Simon to finish the run:
Total Time = 0.25 hours + 0.1875 hours + 0.3125 hours
Total Time = 0.75 hours
To convert this to minutes, we can multiply by 60:
Total Time = 0.75 hours x 60 minutes/hour
Total Time = 45 minutes
Therefore, it took Simon 45 minutes to finish the run.
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The box-and-whisker plot below represents some data set. What percentage of the data values are less than 75?
Answers
67.3% of the data values are less than 75.
What is data?Data is a set of values or facts that is used as a basis for reasoning, discussion, or calculation. Data can be numerical, such as measurements, or it can be non-numerical, such as words or images
The box-and-whisker plot is a visual representation of a data set that displays the median, minimum, maximum, first quartile, and third quartile of the data set. The plot below displays the data set with the first quartile being 40 and the third quartile being 92. This means that the range of the data set is 40-92. The value of 75 falls within this range, so 25% of the data values are less than 75. This can be calculated by taking 75-40, which is 35, and dividing it by the range of the data set (92-40 = 52). This gives us 0.673, which when multiplied by 100 gives us a percentage of 67.3%. Therefore, 67.3% of the data values are less than 75.
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Find the equation of the line through point (−3,8) and perpendicular to y=27x+117.
Answers
Answer:
y - 8 = (-1/27)(x + 3)
Step-by-step explanation:
the slope of a line perpendicular to the given y = 27x + 117 is the negative reciprocal of 27, that is, -1/27. Using the point-slope form y - k =m(x - h) to write the new equation, we get:
y - 8 = (-1/27)(x + 3)
Consider an undirected graph G that has n distinc vertices where each vertex has degree 2. Assume n ≥ 3(a) What is the maximum number of circuits that G can contain(b) If all the vertices of G are contained in a single circuit, what is the maximum number of vertices that can be contained in an independent set?
Answers
The total number of vertices in all the circuits cannot exceed n, and since each circuit contains at least two vertices, the maximum number of circuits is n/2.
The maximum number of vertices that can be contained in an independent set is 0.
(a) In an undirected graph G with n distinct vertices where each vertex has degree 2, the maximum number of circuits that G can contain is n/2. This is because every circuit in the graph will have at least two vertices, and each vertex can only belong to one circuit. Therefore, the total number of vertices in all the circuits cannot exceed n, and since each circuit contains at least two vertices, the maximum number of circuits is n/2.
(b) If all the vertices of G are contained in a single circuit, then there are no independent sets in the graph. An independent set is a set of vertices that are not adjacent to each other. However, in a circuit, every vertex is adjacent to its two neighbours. Therefore, the maximum number of vertices that can be contained in an independent set is 0.
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Graph the inequality on the axes below
Answers
Answer:
There u go, just use the brainly scanner thingy
Solve for . Simplify your answer as much as possible. please help
Answers
Answer:
\(x=-6\)
Step-by-step explanation:
So we have the equation:
\(-34=7(x+8)+8x\)
First, distribute the 7 into the (x+8) and simplify:
\(-34=7(x)+7(8)+8x\\-34=7x+56+8x\)
Combine the like terms 7x and 8x by adding them together:
\(-34=56+15x\)
Subtract 56 from both sides to isolate the x:
\(-34-56=15x+56-56\\15x=-90\)
Divide both sides by 15 to get x:
\(x=-90/15=-6\)
HELP MEEEEEE PLSSSSS
Answers
Answer:
64
Step-by-step explanation:
If you measure the cubes inside for the length, width and height, you get:
Length - 5 cubes
Width -5 cubes
Height - 3 cubes
The volume of the prism is 5 * 5 * 3 = 75. This means the prism can hold a total of 75 cubes
The amount of cubes already in there is 11
so 75 - 11= 64
Explain the connection between <2 and
Answers
From Properties of Triangles , both figures are connected and angle ∠B or ∠2 is 65°
What are some basic Properties of triangles?Basic properties of triangles are:
1)A triangle's (of all varieties) total sum of angles is 180°.
2)The length of a triangle's two longest sides added together is longer than the third side.
3)Similar to this, the length of the third side of a triangle's third side is shorter than the difference between its two sides.
4)The longest of a triangle's three sides is the side that faces the larger angle.
5)A triangle's exterior angle is always equal to the product of its inner and exterior opposite angles. The outer angle attribute of a triangle refers to this characteristic.
Calculation:As sum of angles in a triangle is 180° and sum of angles on a line is also 180°, both the figures are related.
Sum of angles=180°;
\(50+B+65=180;\\B=65\)
∠B=65°
Similarly angle 2 is also 65°
From Properties of Triangles , both figures are connected and angle ∠B or ∠2 is 65°
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